Make sure that soldering iron tip is chisel type (in the shape of little chisel, like 2-3 mm wide or so). The awl/spike shaped ones are no good.
Bare in mind that tips on cheap soldering irons are expendable, they wear out. So either buy spare tips, or buy good quality iron. If you are buying good quality one, make sure it has PTC heater element.
Also, those cheap irons that claim that are 50 W, for example, are not even close to that. You don’t need that much power for electronics (especially SMD), you can burn everything up.
For soldering, 350 oC iron is good, but it in not so good for desoldering. So, for you 450 oC iron will do fine (and about 25 W).
Solder wise, get leaded one. Unleaded is so much harder to work with. Get the thinest one you can. Of course, it needs to contain flux (but practically all of them do).
Also, when getting solder wick, get the one that also contains flux.
And buy some no-clean flux as well (liquid one, in the pen tipe case). Flux is a mild acid that cleans the pads of corrosion and makes soldering much more easier.
When desoldering, since all commercial boards are soldered with unleaded solder (that melts at a higher temperature), you will need (first, apply flux on it) to add some extra solder on the joint in order to have good thermal mass so you can desolder the component (actually heat up the joint) using the solder wick. Otherwise, you will just burn the component.